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   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Bayesian Linear Regression"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {
      "collapsed": false
     },
     "source": [
      "Bayesian Linear Regression (BLR) is very similar to Ridge Regression, however, while Ridge Regression uses cross-validation to find optimal regularization strength, BLR does it analytically. \n",
      "There are two different implementations of BLR in skbayes package namely EBLinearRegression and VBLinearRegression. EBLinearRegression uses Empirical Bayes (Type II Maximum Likelihood), while VBLinearRegression uses Variational Bayes. In both cases we put spherical Gaussian prior on weights, however, in Variational Bayes we also add Gamma prior for precision parameter of noise and Gamma hyperprior for the precision parameter of weights. We will not go into further details about differences between Empirical Bayes and Variational Bayes here. You can read more about that in Pattern Recognition and Machine Learning (Bishop 2006) Chapter 3 & 10."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import scipy\n",
      "import numpy as np\n",
      "from sklearn.linear_model import LinearRegression, BayesianRidge\n",
      "from sklearn.cross_validation import train_test_split\n",
      "import matplotlib.pyplot as plt\n",
      "from sklearn.utils.estimator_checks import check_estimator\n",
      "from skbayes.linear_models import VBLinearRegression, EBLinearRegression\n",
      "from sklearn.metrics import mean_squared_error as mse\n",
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Both versions of Bayesian Linear Regression pass scikit-learn tests for linear regression model"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "check_estimator(VBLinearRegression)\n",
      "check_estimator(EBLinearRegression)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1: Multicollinearity and noisy features"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In cases of multicollinearity or a large number of noisy features (some of which can be highly correlated) estimates of coefficients for Ordinary Least Squares become unreliable and have a huge variance. On of the ways to handle this problem is to use Regularized Linear Regression (either L1 or L2), another one is to use Bayesian Linear Regression.\n",
      "Below we compare estimates of coefficients of OLS EBLinearRegression and VBLinearRegression in a case of 'noisy' features. You can see that estimated coefficients of both versions of Bayesian Regression are much closer to actual weights than estimates from OLS."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "    # !!!! This example repeats example from scikit-learn !!!!\n",
      "    \n",
      "    # Generate Data Matrix with highly correlated features\n",
      "    n_samples, n_features              = 100, 100\n",
      "    np.random.seed(0)\n",
      "    X  = np.random.random([n_samples,n_features])\n",
      "        \n",
      "    # Create weigts with a precision lambda_ of 4.\n",
      "    lambda_ = 5.\n",
      "    w = np.zeros(n_features)\n",
      "    # Only keep 10 weights of interest\n",
      "    relevant_features = np.random.randint(0, n_features, 10)\n",
      "    for i in relevant_features:\n",
      "        w[i] = scipy.stats.norm.rvs(loc=0, scale=1. / np.sqrt(lambda_))\n",
      "    # Create noise with a precision alpha of 50.\n",
      "    alpha_ = 50.\n",
      "    noise = np.random.normal(0,1,n_samples)\n",
      "    # Create the target\n",
      "    Y = np.dot(X, w) + noise\n",
      "    X,x,Y,y   = train_test_split(X,Y, test_size = 0.2, random_state = 1)\n",
      "\n",
      "    \n",
      "\n",
      "    # Fit OLS and different versions of bayesian regression\n",
      "    ols          = LinearRegression()\n",
      "    ols.fit(X, Y)\n",
      "    vblr         = VBLinearRegression()\n",
      "    vblr.fit(X,Y)\n",
      "    eblr         = EBLinearRegression()\n",
      "    eblr.fit(X,Y)\n",
      "    \n",
      "    # Three subplots sharing both x/y axes\n",
      "    f, (ax1, ax2) = plt.subplots(2, sharex=True, sharey=False, figsize = (8,10))\n",
      "    \n",
      "    ax1.plot(ols.coef_,'b-',label = 'OLS')\n",
      "    ax1.plot(vblr.coef_,'r-',label = \"VBLR\")\n",
      "    ax1.plot(w,'go',label = 'Truth')\n",
      "    ax1.set_title('VBLR -vs- OLS')\n",
      "    ax1.legend()\n",
      "    \n",
      "    ax2.plot(ols.coef_,'b-',label = 'OLS')\n",
      "    ax2.plot(eblr.coef_,'r-',label = 'EBLR')\n",
      "    ax2.plot(w,'go',label = 'Truth')\n",
      "    ax2.set_title('EBLR -vs- OLS')\n",
      "    ax2.legend()\n",
      "\n",
      "    \n",
      "    # Compute errors on test set \n",
      "    olserr   =  mse(y,ols.predict(x))\n",
      "    eblrerr  =  mse(y,eblr.predict(x))\n",
      "    vblrerr  =  mse(y,vblr.predict(x))\n",
      "    # Compute errors on test set \n",
      "    olserr   =  mse(y,ols.predict(x))\n",
      "    eblrerr  =  mse(y,eblr.predict(x))\n",
      "    vblrerr  =  mse(y,vblr.predict(x))\n",
      "    print(\" ===== MSE on test set ====== \")\n",
      "    print(\"   OLS ({0})\".format(olserr))\n",
      "    print(\"   VBLR({0})\".format(vblrerr))\n",
      "    print(\"   EBLR({0})\".format(eblrerr))\n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " ===== MSE on test set ====== \n",
        "   OLS (2.6851493337)\n",
        "   VBLR(1.20131244855)\n",
        "   EBLR(0.887073072172)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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Kd8yorjng/Nwp+wVAX3kr929XeTc2+mebV1fTYFN9Lzmtbx4keasLU3UE69w1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\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10be4c5d0>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 2: Overfitting"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# number of simulations\n",
      "n_sims = 50    \n",
      "# MSEs\n",
      "mse_vlr, mse_ols, mse_elr = [],[],[]\n",
      "mse_vlr_train, mse_ols_train = [],[]\n",
      "mse_elr_train = []\n",
      "    \n",
      "    \n",
      "for i in range(n_sims):\n",
      "    \n",
      "        n_samples, n_features              = 100, 120\n",
      "        X  = np.random.random([n_samples,n_features])\n",
      "        \n",
      "        # Create weigts with a precision lambda_ of 4.\n",
      "        lambda_ = 4.\n",
      "        w = np.zeros(n_features)\n",
      "        # Only keep 10 weights of interest\n",
      "        relevant_features = np.random.randint(0, n_features, 10)\n",
      "        for i in relevant_features:\n",
      "            w[i] = scipy.stats.norm.rvs(loc=0, scale=1. / np.sqrt(lambda_))\n",
      "        # Create noise with a precision alpha of 50.\n",
      "        alpha_ = 50.\n",
      "        noise = np.random.normal(0,1,n_samples)\n",
      "        # Create the target\n",
      "        Y = np.dot(X, w) + noise\n",
      "\n",
      "    \n",
      "        # split into training set and test set\n",
      "        X,x,Y,y   = train_test_split(X,Y, test_size = 0.2, random_state = 1)\n",
      "    \n",
      "        # fit & test models\n",
      "        vlr       = VBLinearRegression()\n",
      "        vlr.fit(X,Y)\n",
      "        y_vlr  = vlr.predict(x)\n",
      "        mse_vlr.append(mse(y_vlr,y))\n",
      "        mse_vlr_train.append(mse(vlr.predict(X),Y))\n",
      "        \n",
      "        ols         = LinearRegression()\n",
      "        ols.fit(X,Y)\n",
      "        y_ols       = ols.predict(x)\n",
      "        mse_ols.append(mse(y_ols,y))\n",
      "        mse_ols_train.append(mse(ols.predict(X),Y))\n",
      "        \n",
      "        elr       = EBLinearRegression(optimizer = 'em')\n",
      "        elr.fit(X,Y)\n",
      "        y_elr = elr.predict(x)\n",
      "        mse_elr.append(mse(y_elr,y))\n",
      "        mse_elr_train.append(mse(elr.predict(X),Y))\n",
      "\n",
      "        \n",
      "print \"\\n Average MSE for OLS: training {0}, test {1}\".format(np.mean(mse_ols_train),np.mean(mse_ols))        \n",
      "print \"\\n Avergae MSE for VBLR: training {0}, test {1}\".format(np.mean(mse_vlr_train),np.mean(mse_vlr))\n",
      "print \"\\n Average MSE for EBLR: training {0}, test {1} \\n\".format(np.mean(mse_elr_train),np.mean(mse_elr))\n",
      "    \n",
      "# compare mean squared error\n",
      "plt.figure(2, figsize = (8,6))\n",
      "bp1 = plt.boxplot((mse_ols,mse_vlr, mse_elr))\n",
      "plt.title(\"MSE test set: OLS -vs- VBLR -vs- EBLR -vs- BayesRidge\")\n",
      "plt.ylabel(\"Mean Squared Error\")\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Average MSE for OLS: training 7.84886511049e-30, test 3.30093892358\n",
        "\n",
        " Avergae MSE for VBLR: training 1.18150680311, test 1.20341707337\n",
        "\n",
        " Average MSE for EBLR: training 0.587661586291, test 1.22342763529 \n",
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x10ea8bad0>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Note that MSE of Ordinary Least Squares on the test set is much smaller than MSE on training set - a clear sign of overfitting. Results of simulations show no sign of overfitting for EBLinearRegression and VBLinearRegression."
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 3: Variance of predicttive distribution"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Bayesian Linear Regression can construct predictive distribution for every data point in the test set. This predictive distribution is Gaussian and therefore can be uniquely characterized by mean and standard deviation. It should, however, be noted that in the case of small samples predicted standard deviations could be unreliable."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "    # ==== PART IV: Predictive distribution and its properties ==================\n",
      "    \n",
      "    # In contrast to BayesianRidge class implemented in scikit-learn our\n",
      "    # implementation of Bayesian Linear Regression can estimate predictive distribution.\n",
      "      \n",
      "    # Small example with predictive distribution\n",
      "    #np.random.seed(0)\n",
      "    n,m  = 200,1\n",
      "    x = np.random.random([n,m])*5 - 10\n",
      "    br = EBLinearRegression(optimizer = 'em')\n",
      "    y  = 1 + 2*x[:,0]\n",
      "    br.fit(x,y)\n",
      "    y_hat, var = br.predict_dist(x)\n",
      "    y_lo       = y_hat - 1.96*np.sqrt(var)\n",
      "    y_hi       = y_hat + 1.96*np.sqrt(var)\n",
      "    # plotting\n",
      "    plt.figure(figsize = (12,8))\n",
      "    plt.plot(x[:,0],y,\"bo\",label = 'data')\n",
      "    plt.plot(x[:,0],y_hat,'r+', label = 'model prediction')\n",
      "    plt.plot(x[:,0],y_lo,'go', label = 'means +- 1.96*std')\n",
      "    plt.plot(x[:,0],y_hi,'go', label = 'means +- 1.96*std')    \n",
      "    plt.legend(loc = 2)\n",
      "    plt.xlabel(\"x\")\n",
      "    plt.ylabel(\"y\")\n",
      "    plt.title('Predictive distribution')\n",
      "    plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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F2KdRp1nkVJ2P/4ZE5MxraqpHu8vaUT3OT770CmCC766b8m4i68Ws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\n7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       "text": [
        "<matplotlib.figure.Figure at 0x113d42d10>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "    # Show how variance of predictive distribution changes with the size of training \n",
      "    # data\n",
      "    \n",
      "    n_sample   = [20,100,200,1000]\n",
      "    colors     = ['g-','k-','r-','b-']\n",
      "    n_test_samples  = 1000\n",
      "    n_features      = 10\n",
      "    f, (ax1, ax2) = plt.subplots(2, sharex=True, sharey=False, figsize = (8,13))\n",
      "    ax1.set_ylim((-0.1,5))\n",
      "    ax2.set_ylim((-0.1,5))\n",
      "    for i,n_samples in enumerate(n_sample):\n",
      "        np.random.seed(10)\n",
      "        x           = np.random.randn(n_samples,n_features)\n",
      "        x[0:n_samples,0]  = np.linspace(-100,100,n_samples)\n",
      "        model  = lambda x: 2 + 2*x[:,0]\n",
      "        y      = model(x) + np.random.normal(0,1,n_samples)\n",
      "        eblr2       = EBLinearRegression()\n",
      "        eblr2.fit(x,y)\n",
      "        vblr2       = VBLinearRegression()\n",
      "        vblr2.fit(x,y)\n",
      "        x_test      = np.random.randn(n_test_samples,n_features)\n",
      "        x_test[:,0] = np.linspace(-200,200,n_test_samples)\n",
      "        eblr2_mu, eblr2_var  = eblr2.predict_dist(x_test)\n",
      "        vblr2_mu, vblr2_var  = vblr2.predict_dist(x_test)\n",
      "        y_model = model(x_test)\n",
      "        ax1.plot(x_test[:,0],eblr2_var,colors[i],label = '{0} samples in training'.format(n_samples))\n",
      "        ax2.plot(x_test[:,0],vblr2_var,colors[i],label = '{0} samples in training'.format(n_samples))\n",
      "    ax1.set_title('Variance of predictive distribution for EBLR')\n",
      "    ax2.set_title('Variance of predictive distribution for VBLR')\n",
      "    ax1.legend(loc = 0)\n",
      "    ax2.legend(loc = 0)\n",
      "    plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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QwPYjZjAYDAajDcEUMYPBYDAYHoQpYgajFRIbG4v9+/c7tcyEhAR+S0NPMGrU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2rT6ftIaRHlqytXphMahz6t+iB+RxxH9jjScUzSdjpr8fvg16OFJCfgrohpQfzsks9E7WMvRCyq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NQ41PORYx4THy56BrxCaZA6sQ7BSXLYmarvPU+b2DlBGMemcUpqybErT6m0MQ6zEm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\nIyoqC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5dOBEMaJIGE9Nz1/fHefc+5IZ3AJWH9nuc8p++z1y5rrb3P2fs8++yz0qdPH8nI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\n6pbC5dMuNo6pqU6ZfOABO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       "text": [
        "<matplotlib.figure.Figure at 0x1144aa810>"
       ]
      }
     ],
     "prompt_number": 6
    }
   ],
   "metadata": {}
  }
 ]
}